3364130880 has 896 divisors, whose sum is σ = 14396313600. Its totient is φ = 739031040.

The previous prime is 3364130873. The next prime is 3364130921. The reversal of 3364130880 is 880314633.

It is a happy number.

3364130880 is a `hidden beast` number, since 3 + 3 + 641 + 3 + 0 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3364130880² = 22634753155539148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146266549 + ... + 146266571.

Almost surely, 2^3364130880 is an apocalyptic number.

3364130880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198156800).

3364130880 is an abundant number, since it is smaller than the sum of its proper divisors (11032182720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3364130880 is a wasteful number, since it uses less digits than its factorization.

3364130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3364130880 is about 58001.1282648881. The cubic root of 3364130880 is about 1498.3880283187.

The spelling of 3364130880 in words is "three billion, three hundred sixty-four million, one hundred thirty thousand, eight hundred eighty".